Find the probability P(-1.09

Question

Find the probability P(-1.09 < z < 1.06) using the standard normal distribution.
A)0.8410
B)0.2824
C)0.7175
D)0.6744

Quizplus · Accepted Answer

Using a standard normal distribution table or a calculator function, we find that P(z < -1.09) = 0.1371 and P(z < 1.06) = 0.8541. Therefore, P(-1.09 < z < 1.06) = 0.8541 - 0.1371 = 0.7170, which is closest to choice C, 0.7175. Using a standard normal distribution table, we can find the value of P(z < 1.06) to be 0.8554 and the value of P(z < -1.09) to be 0.1379. Therefore, P(-1.09 < z < 1.06) = P(z < 1.06) - P(z < -1.09) = 0.8554 - 0.1379 = 0.7175. Therefore, the best choice is C.

Find the Probability P(-1